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Finding the Third Proportional to 545,773.50 and 781,521.75

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Solution

The third proportional to 545,773.50 and 781,521.75 is: 1,119,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,773.50 : 781,521.75 = 781,521.75 : x
  2. Step 2: Convert to fraction form
    545,773.50/781,521.75 = 781,521.75/x
  3. Step 3: Cross multiply
    545,773.50x = 781,521.75 × 781,521.75
  4. Step 4: Simplify right side
    545,773.50x = 610,776,245,723.06
  5. Step 5: Solve for x
    x = 610,776,245,723.06/545,773.50
  6. Step 6: Final answer
    x = 1,119,102.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.